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Finding the Third Proportional to 29,615.16 and 69,911.30

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Solution

The third proportional to 29,615.16 and 69,911.30 is: 165,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,615.16 : 69,911.30 = 69,911.30 : x
  2. Step 2: Convert to fraction form
    29,615.16/69,911.30 = 69,911.30/x
  3. Step 3: Cross multiply
    29,615.16x = 69,911.30 × 69,911.30
  4. Step 4: Simplify right side
    29,615.16x = 4,887,589,430.74
  5. Step 5: Solve for x
    x = 4,887,589,430.74/29,615.16
  6. Step 6: Final answer
    x = 165,036.76

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.